You have to find the cos of angle A, so use the Pythagorean equation and trig laws to find the other side of the triangle created by angle A. 3^2 + x^2 = 5^2. x=4. This means cos(A) = 4/5). Make both cos (A) and cos (B) have equal denominators, and add. 148/185 + 60/185 = 208/185. This answer is correct, though it doesn’t appear to be any of the answers you wrote, so either those answers are wrong or you wrote something incorrectly in the problem.
17.2 celcius
hope this helps
Notice the circle, the radius NM or ML is 5, and the arc the angle makes is 14.3 cm, thus
Answer:
(b) (a) (d) (a) (c)
Step-by-step explanation:
(i) The probability of an even card is 1/2 because the number of even cards and odd cards are the same so there is a 50% of getting an even card. (b)
(ii) Since the card is replaced, there is still a card for all numbers between 1-20. There are 8 prime numbers and 20 cards so the probability of getting a prime number is 8/20 or 4/10 or 2/5. (a)
(iii) The card was not replaced so there are only 19 cards and there are only 5 numbers that are multiples of 3 and greater than 4. The probability must be 5/19. (d)
(iv) A sure event means that it will happen 100%. So P(A) = 1 since the number one represents 100%. (a)
(v) All cards have replaced and there is only one number that is a multiple of 3 and 5 which is 15. 1 card out of 20 is a desired outcome so 1/20 is the probability. (c)
Answer:
18
Step-by-step explanation:
Let's make this information into an equation.
We'll use 'x' whenever the problem says "a number".
Equation:
5x + 18 = 36 + 4x
How did I get to this equation?
- 5 times a number means 5 multiplied by x
- increased by 18 means to add 18
- is the same as means equals
- 36 more than means to add 36
- 4 times the number means 4 multiplied by x
Now, let's solve.
Solve:
5x + 18 = 36 + 4x
Subtract 18 on both sides:
5x + 18 = 36 + 4x
-18 -18
5x = 18 + 4x
Subtract 4x on both sides:
5x = 18 + 4x
-4x -4x
x = 18
Therefore, "the number" is 18.
